Patrick Cassam-Chenaï - Simple conditions for the transformation of dynamical coordinates into canonical ones in Hamiltonian dynamics

ocnmp:12890 - Open Communications in Nonlinear Mathematical Physics, February 19, 2024, Volume 4 - https://doi.org/10.46298/ocnmp.12890
Simple conditions for the transformation of dynamical coordinates into canonical ones in Hamiltonian dynamicsArticle

Authors: Patrick Cassam-Chenaï ORCID1,2

We obtain conditions, which when fulfilled, permit to transform the coordinates of a dynamical system into pairs of canonical ones for some Hamiltonian system. These conditions, restricted to the class of coordinate transformations which act on each coordinate independently, are greatly simplified. However, they are surprisingly successful in defining canonical coordinates and an associated Hamiltonian for several test examples. So, a method is proposed to exploit these simple transformations in a systematic manner.

https://doi.org/10.46298/ocnmp.12890
Source: HAL:hal-04215419v4
Volume: Volume 4
Published on: February 19, 2024
Accepted on: February 18, 2024
Submitted on: January 18, 2024
Keywords: Hamiltonian dynamical system,Kermack-McKendrick model,Lotka-Volterra model,Forced Two-level Quantum System,[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS],[PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph]

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